{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "w2v_filepath = \"/data/jugs/nlu/GoogleNews-vectors-negative300.bin\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import gensim\n",
    "from sklearn.preprocessing import normalize\n",
    "import numpy as np\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Load Google's pre-trained Word2Vec model.\n",
    "model = gensim.models.KeyedVectors.load_word2vec_format(w2v_filepath, binary=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "tokens = ['dog','cat','lion','tiger','football','basketball', 'coffee', 'burger']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 dog\n",
      "1 cat\n",
      "2 lion\n",
      "3 tiger\n",
      "4 football\n",
      "5 basketball\n",
      "6 coffee\n",
      "7 burger\n"
     ]
    }
   ],
   "source": [
    "tok_len = len(tokens)\n",
    "token_embed = np.zeros((tok_len, 300), dtype=float)\n",
    "for i,val in enumerate(tokens):\n",
    "    print(i , val)\n",
    "#     print(token_embed[i])\n",
    "    token_embed[i] = model[val]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0.05126953, -0.02233887, -0.17285156, ...,  0.41601562,\n",
       "        -0.35546875,  0.22265625],\n",
       "       [ 0.0123291 ,  0.20410156, -0.28515625, ...,  0.4921875 ,\n",
       "        -0.27539062,  0.05615234],\n",
       "       [ 0.21289062, -0.00457764, -0.23632812, ..., -0.13867188,\n",
       "        -0.19921875,  0.17675781],\n",
       "       ...,\n",
       "       [-0.00854492,  0.08447266,  0.21289062, ...,  0.22167969,\n",
       "         0.04663086,  0.25976562],\n",
       "       [-0.16113281, -0.13671875, -0.37304688, ...,  0.06591797,\n",
       "         0.21777344,  0.20214844],\n",
       "       [-0.26757812,  0.05224609,  0.00915527, ...,  0.03955078,\n",
       "        -0.14941406,  0.09130859]])"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "token_embed"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "for i, val in enumerate(token_embed):\n",
    "    norm1 = val / np.linalg.norm(val)\n",
    "    token_embed[i] = norm1\n",
    "# norm2 = normalize(token_embed[:,np.newaxis], axis=0).ravel()\n",
    "# print( np.all(norm1 == norm2))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_similarity(labels, features, rotation):\n",
    "    corr = np.inner(features, features)\n",
    "    sns.set(font_scale=1.2)\n",
    "    g = sns.heatmap(\n",
    "      corr,\n",
    "      xticklabels=labels,\n",
    "      yticklabels=labels,\n",
    "      vmin=0,\n",
    "      vmax=1,\n",
    "      annot=True,  \n",
    "      cmap=\"YlOrRd\")\n",
    "    g.set_xticklabels(labels, rotation=rotation)\n",
    "    g.set_title(\"Semantic Textual Similarity\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f95b7527908>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_similarity(tokens, token_embed , 90)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Loading Tencent Word2Vec embedding\n",
    "\n",
    "tencent_zh_w2v = '/home/maybe/tencentWordEmbedding/Tencent_AILab_ChineseEmbedding.txt'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "from gensim.models import KeyedVectors\n",
    "\n",
    "model_zh = KeyedVectors.load_word2vec_format(tencent_zh_w2v, binary=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "zh_tokens = ['猫', '狗','狮子','老虎','篮球','足球','咖啡','汉堡包']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "zh_tok_len = len(zh_tokens)\n",
    "zh_token_embed = np.zeros((zh_tok_len, 200), dtype='float')\n",
    "for i, val in enumerate(zh_tokens):\n",
    "#     print(i, val)\n",
    "    embed = model_zh[val]\n",
    "    norm1 = embed / np.linalg.norm(embed)\n",
    "    zh_token_embed[i] = norm1\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f95b76c2f28>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_similarity(zh_tokens, zh_token_embed , 90)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
